Notice: The reproducibility variables underlying each score are classified using an automated LLM-based pipeline, validated against a manually labeled dataset. LLM-based classification introduces uncertainty and potential bias; scores should be interpreted as estimates. Full accuracy metrics and methodology are described in Coakley et alK. L. Coakley, T. Snelleman, H. Hoos, and O. E. Gundersen, "The embrace of open science: An analysis of a decade of AI research and 56 800 conference papers," Under Review, 2026..
Riemannian Diffusion Adaptation for Distributed Optimization on Manifolds
Authors: Xiuheng Wang, Ricardo Augusto Borsoi, Cédric Richard, Ali H. Sayed
ICML 2025 | Venue PDF | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Experimental | We apply the algorithm to the online decentralized principal component analysis problem and Gaussian mixture model inference. Experimental results with both synthetic and real data illustrate its performance. |
| Researcher Affiliation | Academia | 1Universit e de Lorraine, CNRS, CRAN, France 2Universit e Cˆote d Azur, CNRS, OCA, France 3 Ecole Polytechnique F ed erale de Lausanne, Switzerland. |
| Pseudocode | Yes | Algorithm 1 Riemannian Diffusion Adaptation |
| Open Source Code | Yes | Opensource code to reproduce the results is publicly available on https://github.com/xiuheng-wang/diffusion_manifold_release. |
| Open Datasets | Yes | Real data: We also obtain numerical results on the MNIST dataset (Le Cun, 1998). |
| Dataset Splits | Yes | We randomly shuffle the images, partition them into K = 20 subsets, and then run the algorithms to compute the first p = 5 principal components with the fixed step sizes µ = 0.002 and α = 0.005. |
| Hardware Specification | Yes | These experiments were performed on a computer with an Apple M4 Pro processor and 24GB of RAM. |
| Software Dependencies | No | Our method is implemented in Python with the Pymanopt toolbox (Townsend et al., 2016). |
| Experiment Setup | Yes | The simulations used fixed step sizes µ = 0.05 and α = 0.8. |